Greatest Common Factor of 36032 and 36036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 36032, 36036 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36032 and 36036 is 4.

GCF(36032,36036) = 4

GCF of 36032 and 36036

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 36032 and 36036

GCF of 36032 and 36036 is 4

Prime Factorization of 36032


2 36032
2 18016
2 9008
2 4504
2 2252
2 1126
563 563
1

Prime factors of 36032 are 2,563. Prime factorization of 36032 in exponential form is:

36032 = 26×5631

Prime Factorization of 36036


2 36036
2 18018
3 9009
3 3003
7 1001
11 143
13 13
1

Prime factors of 36036 are 2,3,7,11,13. Prime factorization of 36036 in exponential form is:

36036 = 22×32×71×111×131

∴ So by taking common prime factors GCF of 36032 and 36036 is 4

Greatest Common Factor of 36032 and 36036 by matching factors method

Factors of 36032

List of positive integer factors of 36032 that divides 36032 without a remainder.

1,2,4,8,16,32,64,563,1126,2252,4504,9008,18016,36032

Factors of 36036

List of positive integer factors of 36036 that divides 36036 without a remainder.

1,2,3,4,6,7,9,11,12,13,14,18,21,22,26,28,33,36,39,42,44,52,63,66,77,78,84,91,99,117,126,132,143,154,156,182,198,231,234,252,273,286,308,364,396,429,462,468,546,572,693,819,858,924,1001,1092,1287,1386,1638,1716,2002,2574,2772,3003,3276,4004,5148,6006,9009,12012,18018,36036

Greatest Common Factor

We found the factors and prime factorization of 36032 and 36036. The biggest common factor number is the GCF number.
So the greatest common factor 36032 and 36036 is 4.

Also check out the Least Common Multiple of 36032 and 36036

Properties of GCF 36032 and 36036

(i) The GCF of 36032 and 36036 is associative

GCF of 36032 and 36036 = GCF of 36036 and 36032

Related Greatest Common Factor of 36032

Related Greatest Common Factor of 36036

Frequently Asked Questions on GCF of 36032 and 36036

1. What is the GCF of 36032 and 36036?

Answer: GCF of 36032 and 36036 is 4.

2. What are the Factors of 36032?

Answer: Factors of 36032 are 1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032. There are 14 integers that are factors of 36032. The greatest factor of 36032 is 36032.

3. What are the Factors of 36036?

Answer: Factors of 36036 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 13, 14, 18, 21, 22, 26, 28, 33, 36, 39, 42, 44, 52, 63, 66, 77, 78, 84, 91, 99, 117, 126, 132, 143, 154, 156, 182, 198, 231, 234, 252, 273, 286, 308, 364, 396, 429, 462, 468, 546, 572, 693, 819, 858, 924, 1001, 1092, 1287, 1386, 1638, 1716, 2002, 2574, 2772, 3003, 3276, 4004, 5148, 6006, 9009, 12012, 18018, 36036. There are 72 integers that are factors of 36036. The greatest factor of 36036 is 36036.

4. How to Find the GCF of 36032 and 36036?

Answer:

Greatest Common Factor of 36032 and 36036 = 4

Step 1: Find the prime factorization of 36032

36032 = 2 x 2 x 2 x 2 x 2 x 2 x 563

Step 2: Find the prime factorization of 36036

36036 = 2 x 2 x 3 x 3 x 7 x 11 x 13

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 36032 and 36036 is 4